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Finding the Fourth Proportional to 1,772.04, 2,658.48 and 539.37

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Solution

The fourth proportional to 1,772.04, 2,658.48 and 539.37 is: 809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.04 : 2,658.48 = 539.37 : x
  2. Step 2: Convert to fraction form
    1,772.04/2,658.48 = 539.37/x
  3. Step 3: Cross multiply
    1,772.04x = 2,658.48 × 539.37
  4. Step 4: Simplify right side
    1,772.04x = 1,433,904.36
  5. Step 5: Solve for x
    x = 1,433,904.36/1,772.04
  6. Step 6: Final answer
    x = 809.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.